Highest Common Factor of 3852, 5954 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 3852, 5954 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3852, 5954 is 2 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 3852, 5954 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 3852, 5954 is 2.
HCF(3852, 5954) = 2
HCF of 3852, 5954 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3852, 5954 is 2.
Highest Common Factor of 3852,5954 is 2
Step 1: Since 5954 > 3852, we apply the division lemma to 5954 and 3852, to get
5954 = 3852 x 1 + 2102
Step 2: Since the reminder 3852 ≠ 0, we apply division lemma to 2102 and 3852, to get
3852 = 2102 x 1 + 1750
Step 3: We consider the new divisor 2102 and the new remainder 1750, and apply the division lemma to get
2102 = 1750 x 1 + 352
We consider the new divisor 1750 and the new remainder 352,and apply the division lemma to get
1750 = 352 x 4 + 342
We consider the new divisor 352 and the new remainder 342,and apply the division lemma to get
352 = 342 x 1 + 10
We consider the new divisor 342 and the new remainder 10,and apply the division lemma to get
342 = 10 x 34 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3852 and 5954 is 2
Notice that 2 = HCF(10,2) = HCF(342,10) = HCF(352,342) = HCF(1750,352) = HCF(2102,1750) = HCF(3852,2102) = HCF(5954,3852) .
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Frequently Asked Questions on HCF of 3852, 5954 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 3852, 5954?
Answer: HCF of 3852, 5954 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3852, 5954 using Euclid's Algorithm?
Answer: For arbitrary numbers 3852, 5954 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
